Constructions in Geometry

Constructions in Geometry

by Brandy Stapleton

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Multiple Choice

Which one is the correct construction for a perpendicular bisector?

• 1

• 2

• 3

• 4

Multiple Choice

What does the word BISECT mean?

• To cut something into more than five pieces.
• It is a plane with two sets of wings.
• A shape that has three sides. 
• To cut something into two congruent pieces or in half.

Multiple Choice

What must be true?

• 1

• 2

• 3

• 4

Multiple Choice

• 1
• 2
• 3
• 4

Multiple Choice

Select the best answer choice.

• A
• B
• C
• D

Multiple Choice

Which of the following constructions is illustrated?

• An angle is congruent to a given angle
• The bisector of a given angle
• The bisector of a given segment
• The perpendicular bisector of a given segment.

Multiple Choice

To inscribe a square inside a circle, first you must draw a diameter anywhere across the circle. What should your next step be?

• Construct a perpendicular bisector
• Draw a second diameter to the circle
• Construct a line tangent to the circle
• Set your compass the length of the radius.

Multiple Choice

The picture represents a compass and straightedge construction of _________?

• Copy an angle
• Bisect an angle
• Copy a line segment
• Bisect a line segment

Multiple Choice

To inscribe a hexagon inside a circle, which length should you set your compass to?

• The radius
• The diameter
• Half of the radius
• It depends on the size of the circle

Multiple Choice

Nate is constructing angle bisector to angle ABC.  Where did he position his compass to create the two arcs that intersect at the interior of the angle?

• He fixed his compass on B and drew both arcs.
• He fixed his compass on points A and C.
• He fixed his compass on points D and E.
• He fixed his compass on points B and E.

Multiple Choice

Eric was attempting to construct a perpendicular bisector to the segment AB with a compass and straight edge. Which of the below statements explains what Eric may have done wrong?

• Eric should have started by putting the compass needle point at the midpoint of the segment AB.

• On the second step, Eric should have placed the compass needle point where the first arc intersected the segment AB.

• Erick just needed to open the compass more to create arcs that have a radius of more than half the length of the segment AB.

• Erick didn’t do anything wrong he just needs to connect the opposite endpoints of each arc to finish the construction.

Multiple Choice

When constructing a line parallel to a given line, you will be

• copying a segment
• bisecting a segment
• copying an angle
• constructing a perpendicular 

Multiple Choice

Which is the basis for the procedure used in the construction of a line parallel to a given line through a point not on the line?

• Corresponding Angles Theorem

• Alternate Exterior Angles Theorem

• Alternate Interior Angles Theorem

• Consecutive Interior Angles Theorem

Multiple Choice

Suppose we wish to construct angle EFG congruent to angle DBC using a compass and straightedge. Which step would be correct to do first?

• Place the compass point at B
• Place the compass point at C
• Place the straightedge along A and C
• Place the straightedge along C and D

Multiple Choice

What kind of construction is displayed in this picture?

• A circle inscribed in a hexagon
• A hexagon inscribed in a circle
• A hexagon
• A circle